113003105 has 8 divisors (see below), whose sum is σ = 136468392. Its totient is φ = 89826048.

The previous prime is 113003083. The next prime is 113003119. The reversal of 113003105 is 501300311.

It can be written as a sum of positive squares in 4 ways, for example, as 1151329 + 111851776 = 1073^2 + 10576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113003105 - 2⁸ = 113002849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113003105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71192 + ... + 72761.

It is an arithmetic number, because the mean of its divisors is an integer number (17058549).

Almost surely, 2^113003105 is an apocalyptic number.

It is an amenable number.

113003105 is a deficient number, since it is larger than the sum of its proper divisors (23465287).

113003105 is a wasteful number, since it uses less digits than its factorization.

113003105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144115.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 113003105 is about 10630.2918586462. The cubic root of 113003105 is about 483.4632408111.

Adding to 113003105 its reverse (501300311), we get a palindrome (614303416).

The spelling of 113003105 in words is "one hundred thirteen million, three thousand, one hundred five".